Boundary Asymptotic Analysis for an Incompressible Viscous Flow: Navier Wall Laws

Boundary Asymptotic Analysis for an Incompressible Viscous Flow: Navier Wall Laws We consider a new way of establishing Navier wall laws. Considering a bounded domain Ω of R N , N =2,3, surrounded by a thin layer Σ ε , along a part Γ 2 of its boundary ∂ Ω, we consider a Navier-Stokes flow in Ω∪ ∂ Ω∪Σ ε with Reynolds’ number of order 1/ ε in Σ ε . Using Γ-convergence arguments, we describe the asymptotic behaviour of the solution of this problem and get a general Navier law involving a matrix of Borel measures having the same support contained in the interface Γ 2 . We then consider two special cases where we characterize this matrix of measures. As a further application, we consider an optimal control problem within this context. Applied Mathematics and Optimization Springer Journals

Boundary Asymptotic Analysis for an Incompressible Viscous Flow: Navier Wall Laws

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Copyright © 2008 by Springer Science+Business Media, LLC
Mathematics; Numerical and Computational Methods ; Mathematical Methods in Physics; Mathematical and Computational Physics; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization
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  • Domain decomposition and wall laws
    Achdou, Y.; Pironneau, O.

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